A generalization of the Poincaré-Bendixson theorem for compact 3-manifolds (Q1775139)
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scientific article; zbMATH DE number 2165497
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of the Poincaré-Bendixson theorem for compact 3-manifolds |
scientific article; zbMATH DE number 2165497 |
Statements
A generalization of the Poincaré-Bendixson theorem for compact 3-manifolds (English)
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4 May 2005
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The generalization of the title is to compressible cylindrical ends in compact foliated 3-manifolds. The author shows that such ends spiral onto toral leaves. The work strengthens his earlier theorem which had stronger hypotheses [\textit{C. Charitos}, J. Aust. Math. Soc., Ser. A 63, 208--217 (1997; Zbl 0894.57022)].
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foliation
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3-manifold
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cylindrical end
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compressible end
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toral leaf
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